To find out why this seem unrealistic, you may try following:
First check that your ship mass is correct. E.g. that the mass is given in kg (not ton), and the values for dry mass and propellant are correct.
Then use the Shipedit tool to determine the Moment of Inertia. This is to rotation the same, what mass is for linear movement. The tool is in Orbitersdk/utils/Shipedit.exe.
Use the "File - Load Mesh" dialog to open your Explorer mesh.
Then use "Calc - Start / Continue MC integration". Let it run for some time.
Your ship is long and thin, so the interia tensor has two high values around x and y axis and a small one around z (the ship's longitundinal axis). Use the values of the main diagonal of the Inertia tensor. They are like 176813, 176551, 841.
(I tried it. These values are huge.)
Use these values to
SetPMI (_V(176813, 176551, 841)); // Prinzipal Moments of Inertia
Then test fly your ship. If it now is nearly unresponsive to rotational commands, your initial PMI setting was too low. You will need stronger RCS thrusters, and have them located farther away from the mass center to get proper response.
The positive side is, once you have corrected this, the compartively small mass of a ShuttlePB will no more influence your ship very much.